Hello. We wanted to send two trigger emails to our audience. See below.
The flow logic is that when the "Version 1 - 1st Send" email is sent, those who open it exit the campaign. The filter logic for this condition is as follows:
If the response is "Not Opened" then they are moved to a timer of 03/12 to recieve a second send. The logic for this process is here:
The question here is regarding the "result" section of the filtering process. 
Does this play a factor in my logic displayed above, and what's the best way to adjust this (if any)? Thanks in advance, everyone. :)
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Good day, Lucas,
"What is the result" section may further refine the results, but, if you are already filtering your audience using "Which conditions must the contacts meet to transition to the next step", this itself should be sufficient.
Seeing your filter presets, I would additionally advise to make sure that participants responses that are != Open are reviewed. If you leave it as is - this may include Delivered emails that have not been opened yet.
You may check out this article for additional information on delivery status and double-check the contents of "Response of participant in Bulk email" (BulkEmailResponse) to make sure you narrow down the responses according to your need.